105681599 has 6 divisors (see below), whose sum is σ = 106146720. Its totient is φ = 105218460.

The previous prime is 105681581. The next prime is 105681601. The reversal of 105681599 is 995186501.

It is not a de Polignac number, because 105681599 - 2¹² = 105677503 is a prime.

It is a super-2 number, since 2×105681599² = 22337200734393602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105681529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72722 + ... + 74160.

It is an arithmetic number, because the mean of its divisors is an integer number (17691120).

Almost surely, 2^105681599 is an apocalyptic number.

105681599 is a deficient number, since it is larger than the sum of its proper divisors (465121).

105681599 is an frugal number, since it uses more digits than its factorization.

105681599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 44.

The square root of 105681599 is about 10280.1555922077. The cubic root of 105681599 is about 472.7880147304.

It can be divided in two parts, 10568 and 1599, that added together give a cube (12167 = 23³).

The spelling of 105681599 in words is "one hundred five million, six hundred eighty-one thousand, five hundred ninety-nine".